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Finding the Third Proportional to 997,260,028 and 1,490,308,494

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Solution

The third proportional to 997,260,028 and 1,490,308,494 is: 2,227,121,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,260,028 : 1,490,308,494 = 1,490,308,494 : x
  2. Step 2: Convert to fraction form
    997,260,028/1,490,308,494 = 1,490,308,494/x
  3. Step 3: Cross multiply
    997,260,028x = 1,490,308,494 × 1,490,308,494
  4. Step 4: Simplify right side
    997,260,028x = 2,221,019,407,288,548,096
  5. Step 5: Solve for x
    x = 2,221,019,407,288,548,096/997,260,028
  6. Step 6: Final answer
    x = 2,227,121,658.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.